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The Tutor and Student explored the Fundamental Theorem of Calculus. They reviewed both Part One (integral of a derivative) and Part Two (derivative of an integral), practicing with various examples, including cases with function bounds and the use of u-substitution. The Tutor provided worksheets for both theorems.

The tutor and student reviewed calculus concepts in preparation for an exam. They practiced optimization, left, right, and midpoint sums, the trapezoidal rule, indefinite integrals, and inflection points. The tutor provided feedback and confirmed the student's understanding of the material.

The Tutor and Student worked through various integration problems using u-substitution, starting with basic power and exponential functions and progressing to rational and trigonometric forms. They also touched upon trigonometric substitution, including the necessary trigonometric identities and the process of changing integration bounds. The Student practiced identifying substitutions and performing the integration steps.

The tutor and student worked through various mathematical problems, starting with fraction operations including converting mixed numbers and performing division and multiplication. They then tackled word problems involving percentages and discounts, followed by algebraic expression evaluation. The focus was on understanding efficient problem-solving methods.

The tutor and student reviewed fundamental differentiation rules and then delved into the derivatives of exponential and logarithmic functions. They practiced applying these rules, particularly the chain rule, to composite functions and introduced logarithmic differentiation for functions of the form f(x)^g(x). The student was encouraged to practice more problems from a provided worksheet.

The tutor and student reviewed techniques for approximating definite integrals using Riemann sums, including cases with unequal subinterval widths. They practiced calculating left and right Riemann sums, analyzed their properties for increasing and decreasing functions, and then transitioned to using the limit definition of the definite integral to set up and evaluate integrals from given functions and summation expressions.